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Finding the Fourth Proportional to 759.27, 1,047.86 and 427.77

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Solution

The fourth proportional to 759.27, 1,047.86 and 427.77 is: 590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.27 : 1,047.86 = 427.77 : x
  2. Step 2: Convert to fraction form
    759.27/1,047.86 = 427.77/x
  3. Step 3: Cross multiply
    759.27x = 1,047.86 × 427.77
  4. Step 4: Simplify right side
    759.27x = 448,240.93
  5. Step 5: Solve for x
    x = 448,240.93/759.27
  6. Step 6: Final answer
    x = 590.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.